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Finding the Fourth Proportional to 17,288.24, 23,857.32 and 9,836.24

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Solution

The fourth proportional to 17,288.24, 23,857.32 and 9,836.24 is: 13,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288.24 : 23,857.32 = 9,836.24 : x
  2. Step 2: Convert to fraction form
    17,288.24/23,857.32 = 9,836.24/x
  3. Step 3: Cross multiply
    17,288.24x = 23,857.32 × 9,836.24
  4. Step 4: Simplify right side
    17,288.24x = 234,666,325.28
  5. Step 5: Solve for x
    x = 234,666,325.28/17,288.24
  6. Step 6: Final answer
    x = 13,573.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.